Upper Delta JKL congruent Upper Delta GHI. Complete the congruence statement.

Upper Delta HIG congruent ​ ?
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Upper Delta HIG congruentUpper Delta
  
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1 answer

To complete the congruence statement, we need to identify the corresponding parts of the triangles \( \Delta JKL \) and \( \Delta GHI \).

Since \( \Delta JKL \) is congruent to \( \Delta GHI \), we can write:

  • \( J \) corresponds to \( G \)
  • \( K \) corresponds to \( H \)
  • \( L \) corresponds to \( I \)

Now, since \( \Delta HIG \) is formed, we want to find which triangle congruent to \( \Delta HIG \).

Using the correspondence established earlier, we pair the vertices:

  • \( H \) corresponds to \( K \)
  • \( I \) corresponds to \( L \)
  • \( G \) corresponds to \( J \)

Thus, the congruence statement you are looking for is: \[ \Delta HIG \cong \Delta KJL \]

So the complete response is: \[ \Delta HIG \cong \Delta KJL \]